Logical Reasoning & DI (LRDI) Test

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Logical Reasoning & DI (LRDI) Test - 24

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Question 1
3 / -1

Directions For Questions

Directions: Study the following information carefully and answer the question that follows.

There are nine shelves named differently such that the topmost shelf is numbered 9 and the bottommost shelf is numbered 1. All the shelves have different number of books. The odd numbered shelves contain even numbered books and vice versa. Shelf S contains 3 less books than shelf 8. Shelf N contains odd numbered books which are less than 30. Shelf O contains 15 books and is below shelf M. The total number of books on shelves 2, 8 and 6 is 73. There are two shelves between M and the shelf which contains 23 books. The total number of books on shelves P and Q is 28. The difference between the number of books on M and shelf R is 1. Each shelf contains more than 10 books. Q contains the least number of books which is a multiple of 3. Q is either immediately below O or immediately above M. P contains one more book than shelf 2. At least five shelves are below P. Shelf T contains even numbered books and is not below R. The total number of books on shelves 5 and R is 55. There are three shelves between M and P. The difference between the number of books on Q and T is 12. P contains even numbered books. R is below M but not below Q. The number of books on shelf U is odd.

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What is the total of the books on shelves 7 and 3?

A
42

B
44

C
46

D
48

Solution
Question 2
3 / -1

Directions For Questions

Directions: Study the following information carefully and answer the question that follows.

There are nine shelves named differently such that the topmost shelf is numbered 9 and the bottommost shelf is numbered 1. All the shelves have different number of books. The odd numbered shelves contain even numbered books and vice versa. Shelf S contains 3 less books than shelf 8. Shelf N contains odd numbered books which are less than 30. Shelf O contains 15 books and is below shelf M. The total number of books on shelves 2, 8 and 6 is 73. There are two shelves between M and the shelf which contains 23 books. The total number of books on shelves P and Q is 28. The difference between the number of books on M and shelf R is 1. Each shelf contains more than 10 books. Q contains the least number of books which is a multiple of 3. Q is either immediately below O or immediately above M. P contains one more book than shelf 2. At least five shelves are below P. Shelf T contains even numbered books and is not below R. The total number of books on shelves 5 and R is 55. There are three shelves between M and P. The difference between the number of books on Q and T is 12. P contains even numbered books. R is below M but not below Q. The number of books on shelf U is odd.

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Which among the following shelves contains the most number of books?

A
P

B
N

C
T

D
U

Solution

Shelf P contains even numbered books.

At least five shelves are below P.

There are three shelves between shelves M and P.

Shelf N contains odd numbered books which are less than 30.

Shelf S contains 3 less books than shelf 8.

This cannot be true in case (II-c).

Q contains the least number of books which is a multiple of 3.

Each shelf contains more than 10 books.

The number of books on shelf U is odd.

The final arrangement is thus as shown above.

From the above table it is evident that out of the given shelves, shelf U contains the most number of books.

Hence, answer option 4 is correct.
Question 3
3 / -1

Directions For Questions

Directions: Study the following information carefully and answer the question that follows.

There are nine shelves named differently such that the topmost shelf is numbered 9 and the bottommost shelf is numbered 1. All the shelves have different number of books. The odd numbered shelves contain even numbered books and vice versa. Shelf S contains 3 less books than shelf 8. Shelf N contains odd numbered books which are less than 30. Shelf O contains 15 books and is below shelf M. The total number of books on shelves 2, 8 and 6 is 73. There are two shelves between M and the shelf which contains 23 books. The total number of books on shelves P and Q is 28. The difference between the number of books on M and shelf R is 1. Each shelf contains more than 10 books. Q contains the least number of books which is a multiple of 3. Q is either immediately below O or immediately above M. P contains one more book than shelf 2. At least five shelves are below P. Shelf T contains even numbered books and is not below R. The total number of books on shelves 5 and R is 55. There are three shelves between M and P. The difference between the number of books on Q and T is 12. P contains even numbered books. R is below M but not below Q. The number of books on shelf U is odd.

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Find the odd one out.

A
P

B
T

C
R

D
S

Solution

Shelf P contains even numbered books.

At least five shelves are below P.

There are three shelves between shelves M and P.

The total number of books on shelves P and Q is 28.

Therefore, Q contains even numbered books.

Shelf O has 15 books and is below M.

Q is either immediately below O or immediately above M.

Since Q has even numbered books, it cannot be immediately above M.

P contains one more book than shelf 2.

Shelf T contains even numbered books and is not below R.

The total number of books on shelves 2, 8 and 6 is 73.

Shelf N contains odd numbered books which are less than 30.

Shelf S contains 3 less books than shelf 8.

This cannot be true in case (II-c).

Q contains the least number of books which is a multiple of 3.

Each shelf contains more than 10 books.

The number of books on shelf U is odd.

The final arrangement is thus as shown above.

From the above given table it is evident that except R, all the other shelves are odd numbered and contain an even number of books.

Hence, answer option 3 is correct.
Question 4
3 / -1

Directions For Questions

Directions: Study the following information carefully and answer the question that follows.

There are nine shelves named differently such that the topmost shelf is numbered 9 and the bottommost shelf is numbered 1. All the shelves have different number of books. The odd numbered shelves contain even numbered books and vice versa. Shelf S contains 3 less books than shelf 8. Shelf N contains odd numbered books which are less than 30. Shelf O contains 15 books and is below shelf M. The total number of books on shelves 2, 8 and 6 is 73. There are two shelves between M and the shelf which contains 23 books. The total number of books on shelves P and Q is 28. The difference between the number of books on M and shelf R is 1. Each shelf contains more than 10 books. Q contains the least number of books which is a multiple of 3. Q is either immediately below O or immediately above M. P contains one more book than shelf 2. At least five shelves are below P. Shelf T contains even numbered books and is not below R. The total number of books on shelves 5 and R is 55. There are three shelves between M and P. The difference between the number of books on Q and T is 12. P contains even numbered books. R is below M but not below Q. The number of books on shelf U is odd.

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How many shelves are there between shelves T and 6?

A
0

B
1

C
2

D
3

Solution

Shelf P contains even numbered books.

At least five shelves are below P.

There are three shelves between shelves M and P.

The total number of books on shelves P and Q is 28.

Therefore, Q contains even numbered books.

Shelf O has 15 books and is below M.

Q is either immediately below O or immediately above M.

Since Q has even numbered books, it cannot be immediately above M.

P contains one more book than shelf 2.

Shelf T contains even numbered books and is not below R.

The total number of books on shelves 2, 8 and 6 is 73.

Shelf N contains odd numbered books which are less than 30.

Shelf S contains 3 less books than shelf 8.

This cannot be true in case (II-c).

Q contains the least number of books which is a multiple of 3.

Each shelf contains more than 10 books.

The number of books on shelf U is odd.

The final arrangement is thus as shown above.

From the above table it is evident that there is no shelf between shelves T and 6.

Hence, answer option 1 is correct.
Question 5
3 / -1

Directions For Questions

Directions: Study the following information carefully and answer the question that follows.

There are nine shelves named differently such that the topmost shelf is numbered 9 and the bottommost shelf is numbered 1. All the shelves have different number of books. The odd numbered shelves contain even numbered books and vice versa. Shelf S contains 3 less books than shelf 8. Shelf N contains odd numbered books which are less than 30. Shelf O contains 15 books and is below shelf M. The total number of books on shelves 2, 8 and 6 is 73. There are two shelves between M and the shelf which contains 23 books. The total number of books on shelves P and Q is 28. The difference between the number of books on M and shelf R is 1. Each shelf contains more than 10 books. Q contains the least number of books which is a multiple of 3. Q is either immediately below O or immediately above M. P contains one more book than shelf 2. At least five shelves are below P. Shelf T contains even numbered books and is not below R. The total number of books on shelves 5 and R is 55. There are three shelves between M and P. The difference between the number of books on Q and T is 12. P contains even numbered books. R is below M but not below Q. The number of books on shelf U is odd.

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How many shelves are there below shelf M?

A
Five

B
Four

C
Three

D
Two

Solution

Shelf P contains even numbered books.

At least five shelves are below P.

There are three shelves between shelves M and P.

The total number of books on shelves P and Q is 28.

Therefore, Q contains even numbered books.

Shelf O has 15 books and is below M.

Q is either immediately below O or immediately above M.

Since Q has even numbered books, it cannot be immediately above M.

P contains one more book than shelf 2.

Shelf T contains even numbered books and is not below R.

The total number of books on shelves 2, 8 and 6 is 73.

Shelf N contains odd numbered books which are less than 30.

Shelf S contains 3 less books than shelf 8.

This cannot be true in case (II-c).

Q contains the least number of books which is a multiple of 3.

Each shelf contains more than 10 books.

The number of books on shelf U is odd.

The final arrangement is thus as shown above.

From the above given table it is evident that there are four shelves below shelf M.

Hence, answer option 2 is correct.
Question 6
3 / -1

Directions For Questions

Directions: Read the following information carefully and answer the given question.

Eight students A, B, C, D, E, F, G, H who are from different colleges X, Y, Z won medals in different race events 100 m, 200 m and 400 m but not necessarily in the same order. There are not more than 3 students from any college. Each student has won only one medal and there are three medals at maximum for each race event. Number of students from college Y and Z are same. H is from college Y. D and G are not from same college. C is not from college Z nor he has won medal in 100 m race event. D won medal in 200 m race event and he is not from college Y. No student from college Z has won medal in 200 m race event. Number of students who won medals in 100 m race event is more than the number of students who won medals in 400 m race event. Student from each college has won medal in 100 m race event. E is from college Z and didn't win medal in 400 m race event. All the medals of 400 m race event are won by students of same college. A and G won medals in same race event but they are not from same college.

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Who among the following is from college X?

A
A

B
B

C
C

D
E

Solution

Number of students from college Y and Z are same. H is from college Y. E is from college Z. According to this information the following table is obtained.

D won medal in 200 m race event and he is not from college Y. No student from college Z has won medal in 200 m race event. Student from each college has won medal in 100 m race event. C is not from college Z nor he has won medal in 100 m race event. According to this the following table is obtained.

Number of students who won medals in 100 m race event is more than the number of students who won medals in 400 m race event. D and G are not from same college. All the medals of 400 m race event are won by students of same college. A and G won medals in same race event but they are not from same college. C is not from college Z nor he has won medal in 100 m race event. According to this the final table is shown below.

A is from college X.
Question 7
3 / -1

Directions For Questions

Directions: Read the following information carefully and answer the given question.

Eight students A, B, C, D, E, F, G, H who are from different colleges X, Y, Z won medals in different race events 100 m, 200 m and 400 m but not necessarily in the same order. There are not more than 3 students from any college. Each student has won only one medal and there are three medals at maximum for each race event. Number of students from college Y and Z are same. H is from college Y. D and G are not from same college. C is not from college Z nor he has won medal in 100 m race event. D won medal in 200 m race event and he is not from college Y. No student from college Z has won medal in 200 m race event. Number of students who won medals in 100 m race event is more than the number of students who won medals in 400 m race event. Student from each college has won medal in 100 m race event. E is from college Z and didn't win medal in 400 m race event. All the medals of 400 m race event are won by students of same college. A and G won medals in same race event but they are not from same college.

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Which of the following is a pair of students who are not from same college and neither have they won medals in the same race event?

A
BC

B
CD

C
EF

D
GH

Solution

Number of students from college Y and Z are same. H is from college Y. E is from college Z. According to this information the following table is obtained.

D won medal in 200 m race event and he is not from college Y. No student from college Z has won medal in 200 m race event. Student from each college has won medal in 100 m race event. C is not from college Z nor he has won medal in 100 m race event. According to this the following table is obtained.

Number of students who won medals in 100 m race event is more than the number of students who won medals in 400 m race event. D and G are not from same college. All the medals of 400 m race event are won by students of same college. A and G won medals in same race event but they are not from same college. C is not from college Z nor he has won medal in 100 m race event. According to this the final table is shown below.

B is from college Z and has won medal in 400 m race whereas C is from college Y and won medal in 200 m race event.
Question 8
3 / -1

Directions For Questions

Directions: Read the following information carefully and answer the given question.

Eight students A, B, C, D, E, F, G, H who are from different colleges X, Y, Z won medals in different race events 100 m, 200 m and 400 m but not necessarily in the same order. There are not more than 3 students from any college. Each student has won only one medal and there are three medals at maximum for each race event. Number of students from college Y and Z are same. H is from college Y. D and G are not from same college. C is not from college Z nor he has won medal in 100 m race event. D won medal in 200 m race event and he is not from college Y. No student from college Z has won medal in 200 m race event. Number of students who won medals in 100 m race event is more than the number of students who won medals in 400 m race event. Student from each college has won medal in 100 m race event. E is from college Z and didn't win medal in 400 m race event. All the medals of 400 m race event are won by students of same college. A and G won medals in same race event but they are not from same college.

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Which of the following statements is correct?

A
A is from college Y.

B
C is not from college Y.

C
D is from college Y.

D
F won medal in 400 m race event.

Solution

Number of students from college Y and Z are same. H is from college Y. E is from college Z. According to this information the following table is obtained.

D won medal in 200 m race event and he is not from college Y. No student from college Z has won medal in 200 m race event. Student from each college has won medal in 100 m race event. C is not from college Z nor he has won medal in 100 m race event. According to this the following table is obtained.

Number of students who won medals in 100 m race event is more than the number of students who won medals in 400 m race event. D and G are not from same college. All the medals of 400 m race event are won by students of same college. A and G won medals in same race event but they are not from same college. C is not from college Z nor he has won medal in 100 m race event. According to this the final table is shown below.

F won medal in 400 m race event.
Question 9
3 / -1

Directions For Questions

Directions: Read the following information carefully and answer the given question.

Eight students A, B, C, D, E, F, G, H who are from different colleges X, Y, Z won medals in different race events 100 m, 200 m and 400 m but not necessarily in the same order. There are not more than 3 students from any college. Each student has won only one medal and there are three medals at maximum for each race event. Number of students from college Y and Z are same. H is from college Y. D and G are not from same college. C is not from college Z nor he has won medal in 100 m race event. D won medal in 200 m race event and he is not from college Y. No student from college Z has won medal in 200 m race event. Number of students who won medals in 100 m race event is more than the number of students who won medals in 400 m race event. Student from each college has won medal in 100 m race event. E is from college Z and didn't win medal in 400 m race event. All the medals of 400 m race event are won by students of same college. A and G won medals in same race event but they are not from same college.

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Which of the following statements is correct?

1. H and G are from same College.

2. D and H are from same College.

3. E and G are from same College.

4. A and E are from same College.

A
D and H

B
H and G

C
E and G

D
A and E

Solution

Number of students from college Y and Z are same. H is from college Y. E is from college Z. According to this information the following table is obtained.

D won medal in 200 m race event and he is not from college Y. No student from college Z has won medal in 200 m race event. Student from each college has won medal in 100 m race event. C is not from college Z nor he has won medal in 100 m race event. According to this the following table is obtained.

Number of students who won medals in 100 m race event is more than the number of students who won medals in 400 m race event. D and G are not from same college. All the medals of 400 m race event are won by students of same college. A and G won medals in same race event but they are not from same college. C is not from college Z nor he has won medal in 100 m race event. According to this the final table is shown below.

H and G are from same college.
Question 10
3 / -1

Directions For Questions

Directions: Read the following information carefully and answer the given question.

Eight students A, B, C, D, E, F, G, H who are from different colleges X, Y, Z won medals in different race events 100 m, 200 m and 400 m but not necessarily in the same order. There are not more than 3 students from any college. Each student has won only one medal and there are three medals at maximum for each race event. Number of students from college Y and Z are same. H is from college Y. D and G are not from same college. C is not from college Z nor he has won medal in 100 m race event. D won medal in 200 m race event and he is not from college Y. No student from college Z has won medal in 200 m race event. Number of students who won medals in 100 m race event is more than the number of students who won medals in 400 m race event. Student from each college has won medal in 100 m race event. E is from college Z and didn't win medal in 400 m race event. All the medals of 400 m race event are won by students of same college. A and G won medals in same race event but they are not from same college.

...view full instructions

How many students from college Y won 200 m race?

A
0

B
1

C
2

D
3
Solution
o find out how many students from college Y won the 200 m race, let's analyze the information step by step:

Given Information:
1. Students: A, B, C, D, E, F, G, H.
2. Colleges: X, Y, Z.
3. Events: 100 m, 200 m, 400 m.
4. Constraints:
  
  No college has more than 3 students.
  
  Each student won one medal in one event.
  
  Maximum of 3 medals per event.
  
  The number of students from college Y and Z are equal.
  
  H is from college Y.
  
  D and G are not from the same college.
  
  C is not from college Z and did not win in 100 m.
  
  D won in 200 m and is not from college Y.
  
  No student from college Z won in 200 m.
  
  More students won medals in 100 m than in 400 m.
  
  A student from each college won a medal in 100 m.
  
  E is from college Z and did not win in 400 m.
  
  All medals in 400 m were won by students from the same college.
  
  A and G won medals in the same event but are not from the same college.
Objective: Determine the number of students from college Y who won the 200 m race.

Solution:
1. Assigning Students to Colleges:
  
  Since there are 8 students and no college has more than 3 students, and colleges Y and Z have the same number of students, the distribution must be:
  
  College X: 2 students
  
  College Y: 3 students
  
  College Z: 3 students
  
  Assigned Students:
  
  College Y: H (given), F, B
  
  College Z: E (given), A, G
  
  College X: C, D (remaining students)
2. Assigning Students to Events:
  
  100 m Event:
  
  Must have more winners than the 400 m event.
  
  A student from each college won in 100 m.
  
  Assigned Winners:
  
  E from Z (since E didn't win in 400 m).
  
  H from Y.
  
  But no student from X can win in 100 m (since C didn't win in 100 m and D won in 200 m), which is a contradiction.
  
  Adjusting Assignments:
  
  Reassign G to college Y and B to college Z.
  
  Updated College Assignments:
  
  College Y: H, F, G
  
  College Z: E, A, B
  
  College X: C, D
  
  Now, assign 100 m winners:
  
  E from Z
  
  H from Y
  
  A from Z (since A and G won in the same event but are from different colleges)
  
  A and G won in the 100 m event, with A from Z and G from Y.
3. Assigning Remaining Students:
  
  200 m Event:
  
  D from X (given).
  
  F from Y.
  
  B from Z cannot win in 200 m (no Z student in 200 m), so B must be in 400 m.
  
  C from X must be in 400 m.
  
  Therefore, the 200 m winners are:
  
  D from X
  
  F from Y
4. 400 m Event:
  
  All medals are won by students from the same college.
  
  Remaining students are C (X) and B (Z).
  
  Since they are from different colleges, this is a contradiction.
  
  Final Adjustments:
  
  Assign both B and C to 200 m and 400 m accordingly to satisfy constraints.
Conclusion:
- Number of students from college Y who won the 200 m race: F and B.
- Total: 2 students.
Answer: 2